The Bateman equations

In general, the evolution of the nuclear fuel is followed by solving the Bateman equations, which read

Подпись: + Aj,i )njimage237dn (t) dt

where ni is the number of nuclei of type i per unit volume, Ai j is the decay constant of nucleus i to nucleus j, acj is the capture cross-section of nucleus i giving nucleus j, ctt, the total cross-section of nucleus i, is the sum of the capture and fission cross-sections, ‘ is the neutron flux. These equations are summarized in the vector-matrix form.

Подпись: jin.dn

dt